CHEYENNE, Wyo. (AP) — U.S. Sen. Mike Enzi said Thursday he will continue to do what he believes is right, even if it’s not popular, as he faces a Republican primary challenge from Liz Cheney.

Enzi has kept a low profile since the daughter of the former vice president announced her campaign Tuesday. In a news release Thursday, Enzi said many people have been calling and emailing to offer their support.

He said his focus remains on the job he was elected to do.

“When the time comes, I am confident the people of Wyoming will vote for my results, dedication, legislative experience and hard work for the state,” he said in the release.

“I promise to continue to do what is right. Sometimes that isn’t what is popular,” Enzi said.

The senator did not immediately respond to an interview request left with his office, and Cheney’s campaign declined to comment.

Liz Cheney said this week it’s time for a new generation of Republican leaders in Washington who aren’t willing to cut deals with Democrats. Enzi has expressed pride in working across the aisle on some issues.

Cheney was coy about whether her remark Wednesday was targeted at Enzi. Likewise, Enzi made no reference to Cheney in his release.

“I’m ready to start another run, and right now my job is to serve Wyoming people,” he said. “I will continue to concentrate full time on the job folks already elected me to do.”

Cheney is the elder of former Vice President Dick Cheney’s two daughters. She and her husband bought a home in Jackson Hole last year, and the couple and their five children recently have lived in Virginia.

Liz Cheney has been a frequent speaker at state- and county-level Republican events throughout Wyoming over the past year.